Lq-Carleman estimates with boundary observations and applications to inverse problems
Abstract
We consider coupled linear parabolic systems and we establish estimates in Lq- norm for the sources from partial boundary observations of the solutions. The main tool is a family of Carleman estimates in Lq-norm with boundary observations.
Fields of Study & Subjects
Numerical methods in inverse problems
Advanced Mathematical Modeling in Engineering
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Revue Roumaine Mathematiques Pures Appliquees
- Publisher
- Editura Academiei Române
- Volume
- 71
- Issue
- 1-2
- Pages
- 1–14
- Publication date
- 1 January 2026
- Language
- EN